is 2 4264621 - 1
has 1283779 decimal digits
takes 0.532 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA5883417F3E87FB3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2676.967565.6716 %2800001545515401.57077.4546 %8.538268.2307 %
Target2651.710764.6154 %2400022500000.02631.9246 %1.737065.2964 %
Difference+2+5.2568+1.0563 %+256000+152301540+1.5444+5.5301%+6.8012+2.9343 %

Known prime factors (1 factor, 92.2 bits, 0.00216207% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
426462157034864969797533012004692892892.204668697933178558340964
22 × 32 × 269 × 349 × 214237 × 923539117
2011-01-02214237923539117285,276,1429.136316.996

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-09kkmrkkblmbrbkv4_computers25000362500--0.0081.834%
2008-10-04Richard B. Woodsv4_computers10000001000000--0.1813.650%
2008-10-14Richard B. Woodsv4_computers40000004000000--0.7235.571%
2008-10-14Richard B. Woodsv4_computers20000002000000--0.3624.562%
2008-10-14Richard B. Woodsv4_computers30000003000000--0.5435.141%
2008-11-12Richard B. WoodsManual testing50000005000000--0.9675.914%
2008-11-12Richard B. WoodsManual testing60000006000000--1.1606.200%
2008-11-12Richard B. WoodsManual testing70000007000000--1.3536.445%
2008-11-12Richard B. WoodsManual testing80000008000000--1.5476.661%
2008-11-26Richard B. WoodsManual testing1000000010000000--1.9337.027%
2022-09-09USAFSS6917th_Scty_Sq280000154551540--1.6588.939%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-09-30David Campeauv4_computers212610.036
2008-10-04Richard B. Woodsv4_computers212620.072
2008-10-14Richard B. Woodsv4_computers212640.691
2008-11-26Richard B. WoodsManual testing212650.876


ECM factoring results:
Total ECM effort:0.903 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
10.547
50000500000040.355


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-02-16kkmrkkblmbrbkv4_computersA5883417F3E87FB30.532


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
5703486496979753301200469289
7ADD088D6A703199
2018-01-27Oliver KruseGTX-5
5703486496979753301200469289
7ADD088D6A703199


CERT results:
No CERT results for M4264621


P-1 factor-bounds graph:
B1 = 10000000 (P-1 stage 1)
B1 = 280000, B2 = 154551540 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 7000000 (P-1 stage 1)
B1 = 6000000 (P-1 stage 1)
B1 = 5000000 (P-1 stage 1)
B1 = 4000000 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 280000 (P-1 stage 1)
B1 = 25000, B2 = 362500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
265
264
262
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00